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Finding the Fourth Proportional to 9,683.68, 14,530.80 and 3,840.48

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Solution

The fourth proportional to 9,683.68, 14,530.80 and 3,840.48 is: 5,762.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.68 : 14,530.80 = 3,840.48 : x
  2. Step 2: Convert to fraction form
    9,683.68/14,530.80 = 3,840.48/x
  3. Step 3: Cross multiply
    9,683.68x = 14,530.80 × 3,840.48
  4. Step 4: Simplify right side
    9,683.68x = 55,805,246.78
  5. Step 5: Solve for x
    x = 55,805,246.78/9,683.68
  6. Step 6: Final answer
    x = 5,762.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.